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x/6+6=7-x/6
We move all terms to the left:
x/6+6-(7-x/6)=0
We add all the numbers together, and all the variables
x/6-(-x/6+7)+6=0
We get rid of parentheses
x/6+x/6-7+6=0
We multiply all the terms by the denominator
x+x-7*6+6*6=0
We add all the numbers together, and all the variables
2x-6=0
We move all terms containing x to the left, all other terms to the right
2x=6
x=6/2
x=3
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